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Simplifying 12(3 + y) = 13(2m + -3) (3 * 12 + y * 12) = 13(2m + -3) (36 + 12y) = 13(2m + -3) Reorder the terms: 36 + 12y = 13(-3 + 2m) 36 + 12y = (-3 * 13 + 2m * 13) 36 + 12y = (-39 + 26m) Solving 36 + 12y = -39 + 26m Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 12y = -39 + -36 + 26m Combine like terms: 36 + -36 = 0 0 + 12y = -39 + -36 + 26m 12y = -39 + -36 + 26m Combine like terms: -39 + -36 = -75 12y = -75 + 26m Divide each side by '12'. y = -6.25 + 2.166666667m Simplifying y = -6.25 + 2.166666667m
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